Polynomial Operations and Properties of Exponents

Simplify the expression using properties of exponents!

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Simplify the operation below using properties of exponents

• 81x¹⁶y⁴z⁸

• (81x⁸y⁴)/(z⁸)

• (81x¹⁶y⁴)/(z⁸)

• (9x¹⁶y⁴)/(z⁸)

Simplify the operation above with exponent rules:

• (9x²y⁶)/(z⁴)

• (3x²y⁶)/(z⁴)

• (x²y⁶)/(9z⁴)

• (x²y⁶)/(3z⁴)

Is the following function a polynomial? If it is not, identify the reason why it does not meet the criteria.

• Yes, it is a polynomial!

• No, it is not a polynomial because it has 3 terms.

• No, it is not a polynomial because it has a decimal exponent.

• No, it is not a polynomial because the linear term is negative.

Is the following function a polynomial? If it is not, identify the reason why it does not meet the criteria.

• Yes, it is a polynomial!

• No, it is not a polynomial because it has three terms.

• No, it is not a polynomial because it is not written in standard form.

• No, it is not a polynomial because of the negative exponent.

Is the following polynomial written in standard form? If it is, say so! If not, rewrite it in standard form!

• Yes, it is in standard form!

• No, standard form would be: x¹¹+11x³+8x²+9x-5

• No, standard form would be: 11x³+8x²+9x-5+x¹¹

• No, standard form would be: -5+9x+8x²+11x³+x¹¹

Using synthetic substitution, find f(-2):

• 25

• -25

• 10

• -15

Using synthetic substitution, find f(2):

• 90

• 2

• 92

• 102

Which of the following graphs corresponds to the cubic equation above? Plot a minimum of five points to predict the trend.

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Which of the following graphs corresponds to the quartic equation above?

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